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1211220112011 = 3713172937243227
BaseRepresentation
bin10001101000000010010…
…110000011001010001011
311021210101000022212010120
4101220002112003022023
5124321034322041021
62324232110314323
7153336110036610
oct21500226031213
94253330285116
101211220112011
114277481a4338
121768ab1b89a3
138a2a9cbba40
14428a2734507
152178ec582c6
hex11a0258328b

1211220112011 has 128 divisors (see below), whose sum is σ = 2235985274880. Its totient is φ = 564875845632.

The previous prime is 1211220111967. The next prime is 1211220112021. The reversal of 1211220112011 is 1102110221121.

It is a happy number.

It is not a de Polignac number, because 1211220112011 - 27 = 1211220111883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1211220112021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4858180 + ... + 5101406.

It is an arithmetic number, because the mean of its divisors is an integer number (17468634960).

Almost surely, 21211220112011 is an apocalyptic number.

1211220112011 is a deficient number, since it is larger than the sum of its proper divisors (1024765162869).

1211220112011 is a wasteful number, since it uses less digits than its factorization.

1211220112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243333.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1211220112011 its reverse (1102110221121), we get a palindrome (2313330333132).

It can be divided in two parts, 1211220 and 112011, that added together give a palindrome (1323231).

The spelling of 1211220112011 in words is "one trillion, two hundred eleven billion, two hundred twenty million, one hundred twelve thousand, eleven".

Divisors: 1 3 7 13 17 21 29 37 39 51 87 91 111 119 203 221 259 273 357 377 481 493 609 629 663 777 1073 1131 1443 1479 1547 1887 2639 3219 3367 3451 4403 4641 6409 7511 7917 8177 10101 10353 13209 13949 18241 19227 22533 24531 41847 44863 54723 57239 97643 127687 134589 171717 237133 243227 292929 383061 711399 729681 1659931 1702589 3161951 4134859 4979793 5107767 7053583 8999399 9485853 12404577 21160749 22133657 26998197 28944013 49375081 53753167 62995793 66400971 86832039 91696579 116992187 119910911 148125243 152989783 161259501 188987379 260982571 275089737 350976561 359732733 376272169 458969349 641876053 782947713 818945309 839376377 1070928481 1128816507 1558841843 1826877997 1925628159 1988867179 2456835927 2518129131 3212785443 3392773423 4436703707 4676525529 5480633991 5966601537 10178320269 10911892901 13310111121 13922070253 23749413961 31056925949 32735678703 41766210759 57677148191 71248241883 93170777847 173031444573 403740037337 1211220112011